Upscaling of variational inequalities arising in nonlinear problems with unilateral constraints | Zendy

Timofte C. | Zendy

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Upscaling of variational inequalities arising in nonlinear problems with unilateral constraints

Author(s) -

Timofte C.

Publication year - 2007

Publication title -

zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 51

eISSN - 1521-4001

pISSN - 0044-2267

DOI - 10.1002/zamm.200610324

Subject(s) - homogenization (climate) , variational inequality , bounded function , nonlinear system , mathematics , obstacle , domain (mathematical analysis) , obstacle problem , asymptotic homogenization , mathematical analysis , physics , algorithm , biodiversity , ecology , quantum mechanics , composite number , political science , law , biology

The aim of this paper is to study the asymptotic behavior of the solution of a nonlinear variational inequality in periodically perforated media. The domain is considered to be a fixed bounded open subset of ℝ n , in which identical and periodically distributed perforations of size ϵ are made. The asymptotic behavior of the solution of such a problem is governed by an obstacle problem, associated to the homogenization of a periodic heterogeneous and perforated medium.

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